Finding the Third Proportional to 12,019.50 and 19,194.75

Step by Step Solution

1. Step 1: Write the proportion equation
   12,019.50 : 19,194.75 = 19,194.75 : x
2. Step 2: Convert to fraction form
   12,019.50/19,194.75 = 19,194.75/x
3. Step 3: Cross multiply
   12,019.50x = 19,194.75 × 19,194.75
4. Step 4: Simplify right side
   12,019.50x = 368,438,427.56
5. Step 5: Solve for x
   x = 368,438,427.56/12,019.50
6. Step 6: Final answer
   x = 30,653.39